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Simplifying 5(x + -5) + 2(x + 1) = -14(2x + 4) Reorder the terms: 5(-5 + x) + 2(x + 1) = -14(2x + 4) (-5 * 5 + x * 5) + 2(x + 1) = -14(2x + 4) (-25 + 5x) + 2(x + 1) = -14(2x + 4) Reorder the terms: -25 + 5x + 2(1 + x) = -14(2x + 4) -25 + 5x + (1 * 2 + x * 2) = -14(2x + 4) -25 + 5x + (2 + 2x) = -14(2x + 4) Reorder the terms: -25 + 2 + 5x + 2x = -14(2x + 4) Combine like terms: -25 + 2 = -23 -23 + 5x + 2x = -14(2x + 4) Combine like terms: 5x + 2x = 7x -23 + 7x = -14(2x + 4) Reorder the terms: -23 + 7x = -14(4 + 2x) -23 + 7x = (4 * -14 + 2x * -14) -23 + 7x = (-56 + -28x) Solving -23 + 7x = -56 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -23 + 7x + 28x = -56 + -28x + 28x Combine like terms: 7x + 28x = 35x -23 + 35x = -56 + -28x + 28x Combine like terms: -28x + 28x = 0 -23 + 35x = -56 + 0 -23 + 35x = -56 Add '23' to each side of the equation. -23 + 23 + 35x = -56 + 23 Combine like terms: -23 + 23 = 0 0 + 35x = -56 + 23 35x = -56 + 23 Combine like terms: -56 + 23 = -33 35x = -33 Divide each side by '35'. x = -0.9428571429 Simplifying x = -0.9428571429
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